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3 years ago

7x + 2y=24 8x + 2y=30

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

Answer:

x=6 y=-9

Step-by-step explanation:

Layer the equations on each other as you would in a subtraction problem:

8x + 2y=30

7x + 2y=24

Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

42+2y=24 then

2y=-18 then

y=-9

Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

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Which of the following fractions is equivalent to 0.45? 4/5 2/5 9/20 9/200

exis [7]

45/100
Simplify the fraction by diving by the largest possible factor
45 divided by 5 = 9
100 divided by 5 = 20
9/20
9/20 = 0.45

4 0

3 years ago

Will mark brainliest

VMariaS [17]

Answer:

Interquartile range => 7

Third quartile => 22

Range => 13

First quartile => 15

Step-by-step explanation:

Order your data set, from the least amount to the highest amount:

$12, $14, $15, $15, $15, $15, $16, $22, $24, $25

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

Q1 = the middle value of the lower part of the data set, from the median to your left.

Q3 = the middle value of the upper part of the data set, from the median to your right.

The median lies between the 5th and 6th value that is enclosed in the parenthesis below:

$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25

The median divides the data set into upper and lower part.

Median = $\frac{15 + 15}{2} = 15$

First quartile: Q1 = $15

Third quartile: Q3 = $22

IQR = $22 - $15 = $7

Range = highest amount - least amount = 25 - 12 = $13

3 0

3 years ago

Points F,G, and H are collinear such that FG:FH=2/3.If a directed line segment begins at F(-3,2) and ends at H (-3,7), find the

Nana76 [90]

We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).

8 0

3 years ago

A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w

slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

$A(t)= A_0(1+\frac{r}{n})^{nt}$